Cumulative Distribution Function (CDF)

Mathematical Properties

For continuous random variables:

• $F_X(x)$ is monotonically non-decreasing
• ${\lim }_{x\to -\infty }{F}_X(x)=0$
• ${\lim }_{x\to \infty }{F}_X(x)=1$
• Right-continuous: $F_X(x^{+})=F_X(x)$